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Finding the Third Proportional to 457,067 and 992,758

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Solution

The third proportional to 457,067 and 992,758 is: 2,156,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,067 : 992,758 = 992,758 : x
  2. Step 2: Convert to fraction form
    457,067/992,758 = 992,758/x
  3. Step 3: Cross multiply
    457,067x = 992,758 × 992,758
  4. Step 4: Simplify right side
    457,067x = 985,568,446,564
  5. Step 5: Solve for x
    x = 985,568,446,564/457,067
  6. Step 6: Final answer
    x = 2,156,288.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.